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Finding the Fourth Proportional to 3,796.88, 5,239.72 and 2,225

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Solution

The fourth proportional to 3,796.88, 5,239.72 and 2,225 is: 3,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.88 : 5,239.72 = 2,225 : x
  2. Step 2: Convert to fraction form
    3,796.88/5,239.72 = 2,225/x
  3. Step 3: Cross multiply
    3,796.88x = 5,239.72 × 2,225
  4. Step 4: Simplify right side
    3,796.88x = 11,658,377
  5. Step 5: Solve for x
    x = 11,658,377/3,796.88
  6. Step 6: Final answer
    x = 3,070.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.